Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₁₂

Direct product G=NxQ with N=Dic₅ and Q=D₁₂

		d	ρ	Label	ID
Dic₅xD₁₂		240		Dic5xD12	480,491

Semidirect products G=N:Q with N=Dic₅ and Q=D₁₂

extension	φ:Q→Out N	d	Label	ID
Dic₅:₁D₁₂ = C₂₀:D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	Dic5:1D12	480,527
Dic₅:₂D₁₂ = Dic₅:D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	Dic5:2D12	480,492
Dic₅:₃D₁₂ = D₃₀:D₄	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	Dic5:3D12	480,496
Dic₅:₄D₁₂ = Dic₅:₄D₁₂	φ: trivial image	240	Dic5:4D12	480,481
Dic₅:₅D₁₂ = D₆₀:₁₇C₄	φ: trivial image	240	Dic5:5D12	480,494

Non-split extensions G=N.Q with N=Dic₅ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁D₁₂ = D₆₀:C₄	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	120	8+	Dic5.1D12	480,227
Dic₅.₂D₁₂ = Dic₆:F₅	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	120	8-	Dic5.2D12	480,229
Dic₅.₃D₁₂ = Dic₅.D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	120	8+	Dic5.3D12	480,250
Dic₅.₄D₁₂ = Dic₅.₄D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	240	8-	Dic5.4D12	480,251
Dic₅.₅D₁₂ = D₅xC₂₄:C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	120	4	Dic5.5D12	480,323
Dic₅.₆D₁₂ = D₅xD₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	120	4+	Dic5.6D12	480,324
Dic₅.₇D₁₂ = D₅xDic₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	4-	Dic5.7D12	480,335
Dic₅.₈D₁₂ = Dic₅.₈D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240		Dic5.8D12	480,426
Dic₅.₉D₁₂ = C₆₀:Q₈	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.9D12	480,544
Dic₅.₁₀D₁₂ = C₄₀.Dic₃	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.10D12	480,300
Dic₅.₁₁D₁₂ = C₂₄.₁F₅	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.11D12	480,301
Dic₅.₁₂D₁₂ = C₆₀:C₈	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.12D12	480,306
Dic₅.₁₃D₁₂ = Dic₅.₁₃D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.13D12	480,309
Dic₅.₁₄D₁₂ = C₂₄:D₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	4+	Dic5.14D12	480,325
Dic₅.₁₅D₁₂ = D₂₄:D₅	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	4	Dic5.15D12	480,326
Dic₅.₁₆D₁₂ = Dic₆₀:C₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	4-	Dic5.16D12	480,336
Dic₅.₁₇D₁₂ = C₂₄.₂D₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	4	Dic5.17D12	480,337
Dic₅.₁₈D₁₂ = D₆:₂Dic₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.18D12	480,493
Dic₅.₁₉D₁₂ = D₃₀:₂Q₈	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.19D12	480,495
Dic₅.₂₀D₁₂ = D₁₂:₂F₅	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	8-	Dic5.20D12	480,232
Dic₅.₂₁D₁₂ = D₆₀:₅C₄	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	8+	Dic5.21D12	480,234
Dic₅.₂₂D₁₂ = Dic₅.₂₂D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.22D12	480,246
Dic₅.₂₃D₁₂ = D₃₀:C₈	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.23D12	480,247
Dic₅.₂₄D₁₂ = C₄₀.₃₁D₆	φ: trivial image	240	4	Dic5.24D12	480,345
Dic₅.₂₅D₁₂ = D₂₄:₇D₅	φ: trivial image	240	4-	Dic5.25D12	480,346
Dic₅.₂₆D₁₂ = D₁₂₀:C₂	φ: trivial image	240	4+	Dic5.26D12	480,347

Extensions 1→N→G→Q→1 with N=Dic5 and Q=D12

Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₁₂